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290957296 = 247353017
BaseRepresentation
bin10001010101111…
…010011111110000
3202021111011101011
4101111322133300
51043441113141
644512120304
710132045000
oct2125723760
9667434334
10290957296
1113a268583
1281536094
1348382ba6
142a8dc000
151a824881
hex1157a7f0

290957296 has 40 divisors (see below), whose sum is σ = 657423200. Its totient is φ = 124693632.

The previous prime is 290957281. The next prime is 290957299. The reversal of 290957296 is 692759092.

It is a super-2 number, since 2×2909572962 = 169312296191263232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290957299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21021 + ... + 31996.

It is an arithmetic number, because the mean of its divisors is an integer number (16435580).

Almost surely, 2290957296 is an apocalyptic number.

It is an amenable number.

290957296 is an abundant number, since it is smaller than the sum of its proper divisors (366465904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

290957296 is an equidigital number, since it uses as much as digits as its factorization.

290957296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53046 (or 53026 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 290957296 is about 17057.4703869009. The cubic root of 290957296 is about 662.6381217178.

The spelling of 290957296 in words is "two hundred ninety million, nine hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 53017 106034 212068 371119 424136 742238 848272 1484476 2597833 2968952 5195666 5937904 10391332 18184831 20782664 36369662 41565328 72739324 145478648 290957296